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Parallel initial-value algorithms for singularly perturbed boundary-value problems

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Abstract

Initial-value methods for linear and semilinear singularly perturbed boundary-value problems are examined with a view to designing and implementing algorithms on parallel architectures. Practical experiments on a CRAY Y-MP 8/432 multiprocessor have been performed, showing the reliability and performance of several proposed parallel schemes.

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References

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Authors and Affiliations

  1. Dipartimento di Energetica, Università di Firenze, Firenze, Italia

    M. G. Gasparo (Researcher) & M. Macconi (Professor)

Authors
  1. M. G. Gasparo
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  2. M. Macconi
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Additional information

Communicated by I. Galligani

This work was supported by CNR, Rome, Italy (Progetto Finalizzato Sistemi Informatici e Calcolo Parallelo, Sottoprogetto 1).

The authors wish to thank Dr. A. Papini, who carried out most of the computations reported in this work.

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Gasparo, M.G., Macconi, M. Parallel initial-value algorithms for singularly perturbed boundary-value problems. J Optim Theory Appl 73, 501–517 (1992). https://doi.org/10.1007/BF00940053

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  • DOI: https://doi.org/10.1007/BF00940053

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